6533b82efe1ef96bd1293caf

RESEARCH PRODUCT

Static quantum corrections to the Schwarzschild spacetime

Gonzalo J. OlmoAlessandro FabbriS. FareseHelios Sanchis-alepuzJose Navarro-salas

subject

PhysicsHigh Energy Physics - TheoryHistorySpacetimeEvent horizonVacuum stateSemiclassical physicsFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologyComputer Science ApplicationsEducationGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)Horizon (general relativity)Schwarzschild metricVacuum polarizationSchwarzschild radiusMathematical physics

description

We study static quantum corrections of the Schwarzschild metric in the Boulware vacuum state. Due to the absence of a complete analytic expression for the full semiclassical Einstein equations we approach the problem by considering the s-wave approximation and solve numerically the associated backreaction equations. The solution, including quantum effects due to pure vacuum polarization, is similar to the classical Schwarzschild solution up to the vicinity of the classical horizon. However, the radial function has a minimum at a time-like surface close to the location of the classical event horizon. There the g_{00} component of the metric reaches a very small but non-zero value. The analysis unravels how a curvature singularity emerges beyond this bouncing point. We briefly discuss the physical consequences of these results by extrapolating them to a dynamical collapsing scenario.

10.1088/1742-6596/33/1/059http://arxiv.org/abs/hep-th/0512179